Theorem 4.3 ([1]}) 
For \(\eta >0\) , there is a constant \(C\in [0,1]\)  such that if \(\mu \)  is an \(\eta \) -spectrally independent distribution,
then Glauber dynamics for sampling from \(\mu \)  has spectral gap which is at least \(Cn^{-(1+\eta )}\) .

